The pylons will link Hinkley Point to a substation in Avonmouth
An additional three public exhibitions have been organised to show two route options for a 37-mile overhead pylon line.
National Grid wants to connect a new station at Hinkley Point in Somerset to the grid in Avonmouth, in 2016.
A spokesman said the extra dates had been planned due to public demand.
The events are at Portbury Village Hall on 18 November; Trinity Primary School, Portishead, on 19 November and Scotch Horn Centre, Nailsea, on 26 November.
Each of the exhibitions will be open from 1400 to 1600 GMT and 1800 to 2000 GMT.
Nuclear power station
They are in addition to the 14 all ready arranged at locations between Bridgwater and Avonmouth.
Organisers said members of the project team would be on hand to answer questions.
The project is needed because the company has been asked to connect a nuclear power station which is to be built close to the existing generating plant at Hinkley Point.
The new power station will be one of the largest single generators in the UK.
A spokesman said the overhead pylons were the most economical option.
"We have no preference for the route so the public will be asked to choose.
"Depending on the final route, the overhead line would be approximately 37 miles long and would be constructed in 2016 at a cost of approximately £2m per mile," he said.